question_answer

The equation of state for a gas is given by PV = nRT + aV, where n is the number of moles and a is a positive constant. The initial temperature and pressure of one mole of the gas contained in a cylinder are \[{{T}_{o}}\]and \[{{P}_{o}}\]respectively. The work done by the gas when its temperature doubles isobaric ally will be:   [JEE Main Online Paper ( Held On 09 Apirl  2014  )

A) \[\frac{{{P}_{o}}{{T}_{o}}R}{{{P}_{o}}-\alpha }\]

B) \[\frac{{{P}_{o}}{{T}_{o}}R}{{{P}_{o}}+\alpha }\]

C) \[{{P}_{o}}{{T}_{o}}R\ln 2\]                        

D) \[{{P}_{o}}{{T}_{o}}R\]